51116106665667 has 8 divisors (see below), whose sum is σ = 68857435783696. Its totient is φ = 33726090995712.

The previous prime is 51116106665641. The next prime is 51116106665699. The reversal of 51116106665667 is 76656660161115.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 51116106665667 - 2⁷ = 51116106665539 is a prime.

It is a super-3 number, since 3×51116106665667³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (51116106665627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87828361678 + ... + 87828362259.

It is an arithmetic number, because the mean of its divisors is an integer number (8607179472962).

Almost surely, 2^{51116106665667} is an apocalyptic number.

51116106665667 is a deficient number, since it is larger than the sum of its proper divisors (17741329118029).

51116106665667 is a wasteful number, since it uses less digits than its factorization.

51116106665667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175656724037.

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 51116106665667 in words is "fifty-one trillion, one hundred sixteen billion, one hundred six million, six hundred sixty-five thousand, six hundred sixty-seven".